1078210180161 has 27 divisors (see below), whose sum is σ = 1643788301571. Its totient is φ = 680937469344.

The previous prime is 1078210180153. The next prime is 1078210180213. The reversal of 1078210180161 is 1610810128701.

The square root of 1078210180161 is 1038369.

It is a perfect power (a square), and thus also a powerful number.

1078210180161 is a `hidden beast` number, since 107 + 8 + 210 + 180 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245634228225 + 832575951936 = 495615^2 + 912456^2 .

It is not a de Polignac number, because 1078210180161 - 2³ = 1078210180153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1078210180141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59177925 + ... + 59196141.

Almost surely, 2^{1078210180161} is an apocalyptic number.

1078210180161 is the 1038369-th square number.

1078210180161 is the 519185-th centered octagonal number.

It is an amenable number.

1078210180161 is a deficient number, since it is larger than the sum of its proper divisors (565578121410).

1078210180161 is an frugal number, since it uses more digits than its factorization.

1078210180161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36478 (or 18239 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

Multiplying 1078210180161 by its sum of digits (36), we get a square (38815566485796 = 6230214²).

The spelling of 1078210180161 in words is "one trillion, seventy-eight billion, two hundred ten million, one hundred eighty thousand, one hundred sixty-one".